Question

यदि सदिश F = 4i-3j है तो सदिश F के लंबवत् एkअन्य सदिश होगा-​

Answer 1

SOLUTION

TO DETERMINE

Consider a vector F = 4 i ­- 3 j. Another vector that is perpendicular to vector F is

EVALUATION

Here the given vector is

$\vec{ F} = 4 \hat{ \imath} - 3 \hat{ \jmath}$

We have to find the vector which is perpendicular to the given vector

Let $x\hat{ \imath} + y \hat{ \jmath}$ be the another vector which is perpendicular to the given vector

So by the given condition

$( 4 \hat{ \imath} - 3 \hat{ \jmath}).( x \hat{ \imath} + y \hat{ \jmath}) = 0$

$\implies \: 4x = 3y$

Let us take x = 3 & y = 4

Hence one of the required vector is

$3\hat{ \imath} + 4 \hat{ \jmath}$

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